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elica85 Group Title

the electric potential in a region of space is \[V=350/\sqrt{x ^{2}+y ^{2}}\] where x and y are in meters. what is the strength of electric field at (x,y)=(2.6,2.8)m?

  • 2 years ago
  • 2 years ago

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  1. elica85 Group Title
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    E=-dV/ds. gradient V= 350(-1/2)(x^2+y^2)^(-3/2)(2x)+350(-1/2)(x^2+y^2)^(-3/2)(2y). anything wrong so far?

    • 2 years ago
  2. swimermandie Group Title
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    That kinda how i did it but I keep getting the wrong answer. Let me know if this formula worked for you

    • 2 years ago
  3. elica85 Group Title
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    my answer's not working either =/

    • 2 years ago
  4. TuringTest Group Title
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    wrong so far is that you have written the gradient as a scalar when it is a vector

    • 2 years ago
  5. TuringTest Group Title
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    \[\vec E=-\nabla V=<-350x(x^2+y^2)^{-3/2},-350y(x^2+y^2)^{-3/2}>\]now plug in the variables and find the magnitude of the vector

    • 2 years ago
  6. TuringTest Group Title
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    the magnitude is given by\[\large |E|=\sqrt{E_x^2+E_y^2}\]

    • 2 years ago
  7. elica85 Group Title
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    thank you

    • 2 years ago
  8. TuringTest Group Title
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    welcome, I hope it works

    • 2 years ago
  9. elica85 Group Title
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    worked!!

    • 2 years ago
  10. TuringTest Group Title
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    sweet :D

    • 2 years ago
  11. jinjin Group Title
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    If you cartesian coordiante to spherical coordiante, you will find the answer easier.

    • 2 years ago
  12. elica85 Group Title
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    o yea but how? use r=sqrt(x^2+y^2) and then......? can't believe i can't remember how

    • 2 years ago
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